A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical ener
Practice Questions
Q1
A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical energy?
9 J
12 J
15 J
18 J
Questions & Step-by-Step Solutions
A 2 kg object is moving with a speed of 3 m/s. What is its total mechanical energy?
Step 1: Identify the mass of the object. The mass is 2 kg.
Step 2: Identify the speed of the object. The speed is 3 m/s.
Step 3: Use the formula for kinetic energy (KE), which is KE = 0.5 * m * v².
Step 4: Substitute the values into the formula: KE = 0.5 * 2 kg * (3 m/s)².
Step 5: Calculate (3 m/s)², which is 9 m²/s².
Step 6: Multiply 0.5 * 2 kg * 9 m²/s² to find KE: 0.5 * 2 * 9 = 9 J.
Step 7: Since there is no potential energy mentioned, we assume it is 0 J.
Step 8: Add kinetic energy and potential energy to find total mechanical energy: Total mechanical energy = KE + PE = 9 J + 0 J = 9 J.
Kinetic Energy – The energy possessed by an object due to its motion, calculated using the formula KE = 0.5mv².
Potential Energy – The energy stored in an object due to its position or configuration, which is not considered in this question since the height is not provided.
Total Mechanical Energy – The sum of kinetic and potential energy in a system, which in this case is solely kinetic energy since potential energy is not given.